In this model, the adhesion polarity, \(\mathbf {p}_m\) , denotes the degree of freedom and its dynamics correspond to that of the adhesion molecular concentration. To analyze its dynamics, we consider the binding between the adhesion molecules in the cell membrane to the edge of the cytoskeleton related to the movement of cells. In this case, the polarization in the adhesion molecule concentration follows the direction of the movement and localizes at the leading edge of cells, as observed in experiments [1]}, [2]}.
In this case, the polarity obeys the following equation [3]}:
\(\frac{d \mathbf {p}_m}{d t} = \frac{1}{a \tau } \hat{P}(\mathbf {p}_m) \cdot \frac{d{\mathbf {R}}_m}{dt}. \) 
